1. Implicit Differentiation By: Kyle Horvath & Dohyun Kim & John Schafer & Matt Boveri

2. Implicit and Explicit Functions

3. Differentiating with respect to x (pg 137)

4. Guidelines for Implicit Differentiation ► Differentiate both sides of the equation with respect to x. ► Collect all terms with dy/dx on the left side of the equation and the rest of the terms to the right. ► Factor out dy/dx on the left side. ► Solve for dy/dx by dividing both sides by the terms on the left side that don’t contain dy/dx.

5. Example 2 (pg 138) ► Differentiate both sides of the equation with respect to x.

6. ► Collect all terms with dy/dx on the left side of the equation and the rest of the terms to the right. ► Factor out dy/dx on the left side. ► Solve for dy/dx by dividing both sides by the terms on the left side that don’t contain dy/dx.